Investigating mild solutions in Banach spaces highlights the relevance of fractional integro-differential equations.
The aim of this paper is to investigate the existence of mild solutions to a nonlocal ?-Caputo fractional semilinear integro-differential evolution equation in any arbitrary Banach space. The existence of the results is proved by using the fixed point theorem for condensing maps. To illustrate our theoretical results, a non-trivial example is given as an application.
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Benhadda et al. (2025) studied this question.
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